1,974 research outputs found

    The stability of the spectator, Dirac, and Salpeter equations for mesons

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    Mesons are made of quark-antiquark pairs held together by the strong force. The one channel spectator, Dirac, and Salpeter equations can each be used to model this pairing. We look at cases where the relativistic kernel of these equations corresponds to a time-like vector exchange, a scalar exchange, or a linear combination of the two. Since the model used in this paper describes mesons which cannot decay physically, the equations must describe stable states. We find that this requirement is not always satisfied, and give a complete discussion of the conditions under which the various equations give unphysical, unstable solutions

    Evaluation of the Free Energy of Two-Dimensional Yang-Mills Theory

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    The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal among different gauge groups in the large N limit, but significant differences arise in subleading order in 1/N.Comment: 10 pages; no figures; LaTe

    Microcanonical entropy inflection points: Key to systematic understanding of transitions in finite systems

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    We introduce a systematic classification method for the analogs of phase transitions in finite systems. This completely general analysis, which is applicable to any physical system and extends towards the thermodynamic limit, is based on the microcanonical entropy and its energetic derivative, the inverse caloric temperature. Inflection points of this quantity signal cooperative activity and thus serve as distinct indicators of transitions. We demonstrate the power of this method through application to the long-standing problem of liquid-solid transitions in elastic, flexible homopolymers.Comment: 4 pages, 3 figure

    Existence of temperature on the nanoscale

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    We consider a regular chain of quantum particles with nearest neighbour interactions in a canonical state with temperature TT. We analyse the conditions under which the state factors into a product of canonical density matrices with respect to groups of nn particles each and under which these groups have the same temperature TT. In quantum mechanics the minimum group size nminn_{min} depends on the temperature TT, contrary to the classical case. We apply our analysis to a harmonic chain and find that nmin=const.n_{min} = const. for temperatures above the Debye temperature and nmin∝T−3n_{min} \propto T^{-3} below.Comment: Version that appeared in PR

    A Study of Thermal Stability and Methane Tolerance of Cu-Based SOFC Anodes with Electrodeposited Co

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    Cu-based, solid oxide fuel cell (SOFC) electrodes were modified by electrodeposition of Co. The addition of only 5-vol% Co by electrodeposition significantly improved the thermal stability compared to either Cu-ceria-YSZ, Cu-Co-ceria-YSZ, or Co-ceria-YSZ electrodes prepared only by impregnation with much higher metal loadings, demonstrating that electrodeposited metal layers form metal films with better connectivity. In the absence of Co, SEM showed structural changes in the impregnated Cu after heating to 1173 K in humidified H2 and these changes caused large increases in the ohmic resistance of fuel cells, as measured by impedance spectroscopy. In contrast, the ohmic resistance of a cell with 13-vol% Cu, 9-vol% ceria, and 5-vol% Co increased only slightly after 48 h at 1173 K in humidified H2. While a Co-ceria-YSZ composite was found to form large amounts of carbon upon exposure to dry CH4 at 1073 K for 3 h, the Co-Cu-ceria-YSZ composites did not form measurable amounts of carbon for the same conditions. XPS results for a Cu foil with a 250-nm Co film demonstrated that Cu migrates to the surface of the Co upon heating above 873 K, forming a stable Cu layer that appears to be approximately one monolayer thick. The implication of these results for the development of practical SOFC electrodes for the direct utilization of hydrocarbons is discussed

    The Current Status of the Limnology and Bottom Fauna of Lakes West and East Okoboji

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    Lakes West and East Okoboji, Dickinson County, Iowa, were the site of a 1970 summer investigation on the density and diversity within the macroscopic bottom organisms, physical and chemical measurements of the water and substratum chemistry study. These data on Lake West Okoboji were compared with a 1918 and 1950 study of the macroscopic bottom fauna, water analyses dating from 1934, and oxygen and temperature data from as far back as 1915. The sparse species composition of the bottom fauna has remained unchanged; however, pollution indicator tubificid worms have increased in density. Water analysis, oxygen, and temperature data are little changed from earlier studies. Few data have been collected in previous years on Lake East Okoboji. Apparent cultural eutrophication has occurred in the last 60 years, causing extreme nuisance blooms of blue-green algae

    An Examination of SOFC Anode Functional Layers Based on Ceria in YSZ

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    The properties of solid oxide fuel cell (SOFC) anode functional layers prepared by impregnation of ceria and catalytic metals into porous yttria-stabilized zirconia (YSZ) have been examined for operation at 973 K. By varying the thickness of the functional layer, the conductivity of the ceria-YSZ composite was determined to be only 0.015–0.02 S/cm. The initial performance of anodes made with ceria loadings of 40 or 60 wt % were similar but the anodes with lower loadings lost conductivity above 1073 K due to sintering of the ceria. The addition of dopant levels of catalytic metals was found to be critical. The addition of 1 wt % Pd or Ni decreased the anode impedances in humidified H2 dramatically, while the improvement with 5 wt % Cu was significant but more modest. Pd doping also decreased the anode impedance in dry CH4 much more than did Cu doping; however, addition of either Pd or Cu led to similar improvements for operation in n-butane. Based on these results, suggestions are made for ways to improve SOFC anode functional layers
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